Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of a LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…

Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of an LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…

The purpose of this paper is to explore how master mathematics teachers use the concrete-representational-abstract (CRA) sequence of instruction in mathematics classrooms. Data was collected from a convenience sample of six master teachers by observations, video recordings of their teaching, and semi-structured interviews. Data collection also…

This article presents a systematic review of research related to the use of robotics construction kits (RCKs) in P-12 learning in the STEM disciplines for typically developing children. The purpose of this review is to configure primarily qualitative and mixed methods findings from studies meeting our selection and quality criterion to answer the…

This report summarizes recommendations from NCTM, NRC, CCSSM, NMAP, and IES to guide early numeracy instruction for elementary age students in general and special education classroom settings. We highlight common threads among general and special education research recommendations and provide a numeracy intervention curriculum model connecting…

The premise underlying this article is that identifying and using the "five practices model" can make discussions of cognitively challenging tasks more manageable for teachers. By giving teachers a roadmap that they can follow before and during whole-class discussions, these practices have the potential for helping teachers more effectively…

The author strongly questions the arbitrary and random usage of diverse experiences, labs, games and activities in the mathematics classroom. He urges that teachers not substitute these activities for carefully planned, sequential mathematics instruction. (CT)

This paper outlines the rationale of the Fundamentals Underlying Number (F. U. N.) program, and describes Unit I, which is primarily intended for nursery and kindergarten children. This unit develops concepts for sets, numbers, and relations. Each major concept is broken into finely sequenced levels, and at each level instruction is through two…

This study compared effectiveness of either a concrete-representational-abstract (CRA) or a representational-abstract (RA) instructional sequence in teaching fraction concepts to 50 middle school students with mathematics disabilities. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA…

Proposed is a model for basic preconditions for "the design of effective programs in developmental learning." Such a program should include (1) a continuous psychocognitive diagnosis and assessment of each child; (2) a structured, coherent, sequential approach to content area; (3) a focus on symbolic manipulation and the essentials of a concept;…

The purpose of this study was to assess the effectiveness of two generative learning strategies, concept maps and manipulation of objects, and to determine if either works better with individual learners or in cooperative learning groups. A total of 80 sixth-grade students in science education were randomly assigned to group or individual…